Answer:

Step-by-step explanation:
Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

Base of the courtyard = sqrt(90) = 3sqrt(10)
Height of the courtyard = 10 + sqrt(3)
Area of the courtyard = 1/2 x 3sqrt(10) x (10 + sqrt(3)) = 15sqrt(10) + 3/2sqrt(30)
Answer:
1000 in base 14
Step-by-step explanation:
DDD + 1 = 1000 in base 14
The prime factorization of a number means to factor out the number into multiples of primes.
Let's factor out 45.
45: 1 x 45, 3 x 15, 5 x 9.
Now we have 2 pairs of factors that can be broken down; 3&15, and 5&9.
Let's use 5 and 9.
9 can be broken down into 3 x 3.
We now have 5 x 3 x 3.
This is our factors into primes.
Your prime factorization of 45 is:
3 x 3 x 5.
I hope this helps!